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Results (7 matches)
Download displayed columns for resultsLabel | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
5.6.0.1 | $x^{6} + x^{4} + 4 x^{3} + x^{2} + 2$ | $5$ | $1$ | $6$ | $0$ | $C_6$ (as 6T1) | $[\ ]^{6}$ |
5.6.3.1 | $x^{6} + 60 x^{5} + 1221 x^{4} + 8846 x^{3} + 9864 x^{2} + 29208 x + 29309$ | $5$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
5.6.3.2 | $x^{6} + 75 x^{2} - 375$ | $5$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
5.6.4.1 | $x^{6} + 12 x^{5} + 54 x^{4} + 122 x^{3} + 168 x^{2} + 228 x + 233$ | $5$ | $3$ | $2$ | $4$ | $S_3$ (as 6T2) | $[\ ]_{3}^{2}$ |
5.6.4.2 | $x^{6} + 10 x^{3} - 25$ | $5$ | $3$ | $2$ | $4$ | $S_3\times C_3$ (as 6T5) | $[\ ]_{3}^{6}$ |
5.6.5.1 | $x^{6} + 5$ | $5$ | $6$ | $1$ | $5$ | $D_{6}$ (as 6T3) | $[\ ]_{6}^{2}$ |
5.6.5.2 | $x^{6} + 10$ | $5$ | $6$ | $1$ | $5$ | $D_{6}$ (as 6T3) | $[\ ]_{6}^{2}$ |